Asymptotic error estimates for Rayleigh-Ritz-approximations of selfadjoint eigenvalue problems

DOI10.1007/BF01385858zbMath0757.65068OpenAlexW401415048MaRDI QIDQ1195903

Ulrich Mertins

Publication date: 2 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133679

zbMATH Keywords

multiple eigenvaluesapproximation of eigenvaluesRayleigh-Ritz methodsapproximation of eigenvectors

Mathematics Subject Classification ID

Related Items (4)

The finite element-Galerkin method for singular self-adjoint differential equations ⋮ On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum ⋮ Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen ⋮ Comparison of Errors in Upper and Lower Bounds to Eigenvalues of Self-Adjoint Eigenvalue Problems

Cites Work

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• Convergence of the Rayleigh-Ritz method for eigenvalue problems.
• Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Improved error bounds for eigenfunctions
• Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials

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